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Finding the Fourth Proportional to 198.95, 275.28 and 173.13

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Solution

The fourth proportional to 198.95, 275.28 and 173.13 is: 239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.95 : 275.28 = 173.13 : x
  2. Step 2: Convert to fraction form
    198.95/275.28 = 173.13/x
  3. Step 3: Cross multiply
    198.95x = 275.28 × 173.13
  4. Step 4: Simplify right side
    198.95x = 47,659.23
  5. Step 5: Solve for x
    x = 47,659.23/198.95
  6. Step 6: Final answer
    x = 239.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.